1.35 is what percent of 17.65 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 17.65 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 17.65, so we can write it down as 100%=17.65.
4. We know, that x% equals 1.35 of the output value, so we can write it down as x%=1.35.
5. Now we have two simple equations:
1) 100%=17.65
2) x%=1.35
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=17.65/1.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.35 is what percent of 17.65

100%/x%=17.65/1.35
(100/x)*x=(17.65/1.35)*x       - we multiply both sides of the equation by x
100=13.074074074074*x       - we divide both sides of the equation by (13.074074074074) to get x
100/13.074074074074=x
7.6487252124646=x
x=7.6487252124646

now we have:
1.35 is 7.6487252124646% of 17.65